Question

Which of the following expressions is a factor of the polynomial x ^ 2 +3/2 x - 1?

a. x-1/2
b. x-2
c. x-1
d. x+3/2

Answer 1

solve by completing the square
x^2 + 3/2x+9/16=25/16
(x+3/4)^2=25/16
(x+3/4)^2-25/16=0
(x+3/4-5/4)(x+3/4+5/4)=0
(x-1/2)(x+2)=0